Final answer:
To solve the equation 900(1+i)^6 + 900(1+i)^4 = 2652.63 for the value of i, divide both sides by 900 and simplify the equation. Substitute (1+i)^2 = x to further simplify the equation. Solve the resulting equation to find the value of i.
Step-by-step explanation:
To solve the equation 900(1+i)^6 + 900(1+i)^4 = 2652.63 for the value of i, we can start by factoring out 900 from both terms:
900((1+i)^6 + (1+i)^4) = 2652.63
Next, we can divide both sides of the equation by 900:
(1+i)^6 + (1+i)^4 = 2.947 or approximately 2.95
Now, we can substitute (1+i)^2 = x to simplify the equation:
x^3 + x^2 = 2.95
We can solve this equation using numerical methods or by graphing the equation to find the solution, which is approximately 1.05.